Aquifer Thickness given Discharge by Spherical Flow Calculator

✖The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius.ⓘ Radius of Well [r]			+10% -10%
✖Discharge by Spherical Flow refers to when water moves radially towards the well in a three-dimensional pattern, typical in confined aquifers or near partially penetrating wells.ⓘ Discharge by Spherical Flow [Q_s]			+10% -10%
✖Discharge for Fully Penetrating Gravity Well refers to the volume of water extracted from an unconfined aquifer where the well reaches the entire thickness of the aquifer.ⓘ Discharge for Fully Penetrating Gravity Well [Q_fe]			+10% -10%
✖The radius of influence is the distance from a pumping well to the point where the drawdown, or lowering of the water table, becomes negligible.ⓘ Radius of Influence [R]			+10% -10%

✖Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.ⓘ Aquifer Thickness given Discharge by Spherical Flow [b]

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Aquifer Thickness given Discharge by Spherical Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Aquifer Thickness = (Radius of Well/(Discharge by Spherical Flow/Discharge for Fully Penetrating Gravity Well))*log((Radius of Influence/Radius of Well),e)
b = (r/(Q_s/Q_fe))*log((R/r),e)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Aquifer Thickness - (Measured in Meter) - Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.
Radius of Well - (Measured in Meter) - The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius.
Discharge by Spherical Flow - (Measured in Cubic Meter per Second) - Discharge by Spherical Flow refers to when water moves radially towards the well in a three-dimensional pattern, typical in confined aquifers or near partially penetrating wells.
Discharge for Fully Penetrating Gravity Well - (Measured in Cubic Meter per Second) - Discharge for Fully Penetrating Gravity Well refers to the volume of water extracted from an unconfined aquifer where the well reaches the entire thickness of the aquifer.
Radius of Influence - (Measured in Meter) - The radius of influence is the distance from a pumping well to the point where the drawdown, or lowering of the water table, becomes negligible.

STEP 1: Convert Input(s) to Base Unit

Radius of Well: 2.94 Meter --> 2.94 Meter No Conversion Required
Discharge by Spherical Flow: 0.34 Cubic Meter per Second --> 0.34 Cubic Meter per Second No Conversion Required
Discharge for Fully Penetrating Gravity Well: 6.12 Cubic Meter per Second --> 6.12 Cubic Meter per Second No Conversion Required
Radius of Influence: 100 Meter --> 100 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (r/(Q_s/Q_fe))*log((R/r),e) --> (2.94/(0.34/6.12))*log((100/2.94),e)

Evaluating ... ...

b = 15.0052713899585

STEP 3: Convert Result to Output's Unit

15.0052713899585 Meter --> No Conversion Required

FINAL ANSWER

15.0052713899585 ≈ 15.00527 Meter <-- Aquifer Thickness

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Spherical Flow in a Well Calculators

Coefficient of Permeability given Discharge due to Spherical Flow in Well

LaTeX Go Coefficient of Permeability = Discharge by Spherical Flow/(2*pi*Radius of Well*(Initial Piezometric Surface-Depth of Water))

Thickness of Aquifer given Discharge due to Spherical Flow in Well

LaTeX Go Initial Piezometric Surface = Depth of Water+(Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*Radius of Well))

Radius of Well given Discharge due to Spherical Flow in Well

LaTeX Go Radius of Well = Discharge by Spherical Flow/(2*pi*Coefficient of Permeability*(Initial Piezometric Surface-Depth of Water))

Discharge due to Spherical Flow in Well

LaTeX Go Discharge by Spherical Flow = 2*pi*Coefficient of Permeability*Radius of Well*(Initial Piezometric Surface-Depth of Water)

Aquifer Thickness given Discharge by Spherical Flow Formula

LaTeX Go

Aquifer Thickness = (Radius of Well/(Discharge by Spherical Flow/Discharge for Fully Penetrating Gravity Well))*log((Radius of Influence/Radius of Well),e)
b = (r/(Q_s/Q_fe))*log((R/r),e)

What is Aquifer?

An aquifer is a body of rock and/or sediment that holds groundwater. Groundwater is the word used to describe precipitation that has infiltrated the soil beyond the surface and collected in empty spaces underground.

How to Calculate Aquifer Thickness given Discharge by Spherical Flow?

Aquifer Thickness given Discharge by Spherical Flow calculator uses Aquifer Thickness = (Radius of Well/(Discharge by Spherical Flow/Discharge for Fully Penetrating Gravity Well))*log((Radius of Influence/Radius of Well),e) to calculate the Aquifer Thickness, Aquifer Thickness given Discharge by Spherical Flow formula is defined as a method to estimate the thickness of an aquifer, which is a vital parameter in groundwater studies, by analyzing the discharge of a well and the flow pattern around it, providing valuable insights into the aquifer's properties and behavior. Aquifer Thickness is denoted by b symbol.

How to calculate Aquifer Thickness given Discharge by Spherical Flow using this online calculator? To use this online calculator for Aquifer Thickness given Discharge by Spherical Flow, enter Radius of Well (r), Discharge by Spherical Flow (Q_s), Discharge for Fully Penetrating Gravity Well (Q_fe) & Radius of Influence (R) and hit the calculate button. Here is how the Aquifer Thickness given Discharge by Spherical Flow calculation can be explained with given input values -> 15.00527 = (2.94/(0.34/6.12))*log((100/2.94),e).

FAQ

What is Aquifer Thickness given Discharge by Spherical Flow?

Aquifer Thickness given Discharge by Spherical Flow formula is defined as a method to estimate the thickness of an aquifer, which is a vital parameter in groundwater studies, by analyzing the discharge of a well and the flow pattern around it, providing valuable insights into the aquifer's properties and behavior and is represented as b = (r/(Q_s/Q_fe))*log((R/r),e) or Aquifer Thickness = (Radius of Well/(Discharge by Spherical Flow/Discharge for Fully Penetrating Gravity Well))*log((Radius of Influence/Radius of Well),e). The radius of well refers to the horizontal distance from the center of the well to its inner wall, essentially the well’s radius, Discharge by Spherical Flow refers to when water moves radially towards the well in a three-dimensional pattern, typical in confined aquifers or near partially penetrating wells, Discharge for Fully Penetrating Gravity Well refers to the volume of water extracted from an unconfined aquifer where the well reaches the entire thickness of the aquifer & The radius of influence is the distance from a pumping well to the point where the drawdown, or lowering of the water table, becomes negligible.

How to calculate Aquifer Thickness given Discharge by Spherical Flow?

Aquifer Thickness given Discharge by Spherical Flow formula is defined as a method to estimate the thickness of an aquifer, which is a vital parameter in groundwater studies, by analyzing the discharge of a well and the flow pattern around it, providing valuable insights into the aquifer's properties and behavior is calculated using Aquifer Thickness = (Radius of Well/(Discharge by Spherical Flow/Discharge for Fully Penetrating Gravity Well))*log((Radius of Influence/Radius of Well),e). To calculate Aquifer Thickness given Discharge by Spherical Flow, you need Radius of Well (r), Discharge by Spherical Flow (Q_s), Discharge for Fully Penetrating Gravity Well (Q_fe) & Radius of Influence (R). With our tool, you need to enter the respective value for Radius of Well, Discharge by Spherical Flow, Discharge for Fully Penetrating Gravity Well & Radius of Influence and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Aquifer Thickness?

In this formula, Aquifer Thickness uses Radius of Well, Discharge by Spherical Flow, Discharge for Fully Penetrating Gravity Well & Radius of Influence. We can use 3 other way(s) to calculate the same, which is/are as follows -

Aquifer Thickness = (Radius of Well/Ratio of Discharge)*log((Radius of Influence/Radius of Well),e)
Aquifer Thickness = 2.3*(Radius of Well/Ratio of Discharge)*log((Radius of Influence/Radius of Well),10)
Aquifer Thickness = 2.3*(Radius of Well/(Discharge by Spherical Flow/Discharge for Fully Penetrating Gravity Well))*log((Radius of Influence/Radius of Well),10)

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